What is the Least Common Multiple of 68034 and 68054?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 68034 and 68054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68034 and 68054, than apply into the LCM equation.

GCF(68034,68054) = 2
LCM(68034,68054) = ( 68034 × 68054) / 2
LCM(68034,68054) = 4629985836 / 2
LCM(68034,68054) = 2314992918

Least Common Multiple (LCM) of 68034 and 68054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68034 and 68054. First we will calculate the prime factors of 68034 and 68054.

Prime Factorization of 68034

Prime Factorization of 68054

Now multiplying the highest exponent prime factors to calculate the LCM of 68034 and 68054.

LCM(68034,68054) = 2¹ × 3¹ × 17¹ × 23¹ × 29¹ × 7¹ × 4861¹
LCM(68034,68054) = 2314992918